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Finding the Fourth Proportional to 54,996, 82,494 and 19,935.69

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Solution

The fourth proportional to 54,996, 82,494 and 19,935.69 is: 29,903.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,996 : 82,494 = 19,935.69 : x
  2. Step 2: Convert to fraction form
    54,996/82,494 = 19,935.69/x
  3. Step 3: Cross multiply
    54,996x = 82,494 × 19,935.69
  4. Step 4: Simplify right side
    54,996x = 1,644,574,810.86
  5. Step 5: Solve for x
    x = 1,644,574,810.86/54,996
  6. Step 6: Final answer
    x = 29,903.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.